Dissipative Particle Dynamics with energy conservation

Dissipative particle dynamics (DPD) does not conserve energy and this precludes its use in the study of thermal processes in complex fluids. We present here a generalization of DPD that incorporates an internal energy and a temperature variable for each particle. The dissipation induced by the dissipative forces between particles is invested in raising the internal energy of the particles. Thermal conduction occurs by means of (inverse) temperature differences. The model can be viewed as a simplified solver of the fluctuating hydrodynamic equations and opens up the possibility of studying thermal processes in complex fluids with a mesoscopic simulation technique.Comment: 5 page

Dissipative Particle Dynamics with Energy Conservation

The stochastic differential equations for a model of dissipative particle dynamics with both total energy and total momentum conservation in the particle-particle interactions are presented. The corresponding Fokker-Planck equation for the evolution of the probability distribution for the system is deduced together with the corresponding fluctuation-dissipation theorems ensuring that the ab initio chosen equilibrium probability distribution for the relevant variables is a stationary solution. When energy conservation is included, the system can sustain temperature gradients and heat flow can be modeled.Comment: 7 pages, submitted to Europhys. Let

Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)

An overview of the smoothed dissipative particle dynamics (SDPD) method is presented in a format that tries to quickly answer questions that often arise among users and newcomers. It is hoped that the status of SDPD is clarified as a mesoscopic particle model and its potentials and limitations are highlighted, as compared with other methods

Dissipative Particle Dynamics With Energy Conservation: Heat Conduction

this paper on the simplest problem of conduction in a quiescent fluid (or a solid). This is a particular case of the model introduced in Refs

Boundary Model In DPD

this paper we further exploit the idea of freezing DPD particles by presenting a generic model for treatment of the boundaries between solid objects and DPD particles. One would like to apply on the surface of the solid a no-slip boundary condition. This suggest to consider a layer of DPD particles that are stuck (or "frozen") onto the solid. By taking a continuum limit of this layer an effective force due to the solid onto the DPD fluid particles arises. The explicit form of this force will be derived for the case of a flat wall. A crucial ingredient of the model refers to the impermeability of the wall. The wall is a well defined mathematical plane such that whenever a particle crosses the wall it is reinjected into the fluid. Three different models are considered: specular, Maxwellian and bounce back reflections. Very different dynamical behaviour are obtained in each case, as can be observed from numerical simulations, although only the bounce-back is fully consistent with the description of the wall as an ensemble of frozen DPD particles moving as a rigid object. As we will point out later, this is a relevant aspect regarding the modelling of the boundaries carried out in DPD so far. 2. The DPD mode